The real GDP will increase by $20 billion if the MPS equals 0.10 and investment spending increases by $10 billion.
MPS stands for marginal propensity to save which is determined by deducting the MPC value from 1. This value is used in computing the investment multiplier.
Given values:
MPS = 0.10
Change in investment spending (increase) = $10 billion
Computation of change in real GDP (increase):
[tex]\rm\ Change \rm\ in \rm\ real \rm\ GDP=\rm\ Multiplier\times\ \rm\ Change \rm\ in \rm\ investment \rm\ spending\\\rm\ Change \rm\ in \rm\ real \rm\ GDP=\frac{1}{MPS}\times\ \$10\rm\ billion\\\rm\ Change \rm\ in \rm\ real \rm\ GDP=10\times\ \$10\rm\ billion\\\rm\ Change \rm\ in \rm\ real \rm\ GDP=$20\rm\ billion[/tex]
Therefore, when the investment spending increased by $10 billion with MPS equal to 0.10 then the real GDP will also increase by $20 billion.
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